2. In a study of traffic flow in a section of the CBD two intersections are selected to be analysed. The intersections are chosen to have integer coordinates (X1, Y1) and (X2, Y2) where 1 3, let B be the event that Y1 > 2, let C be the event that X2 = 3 and let D be the event that X1 = 3. (a) What is the value of c? [2] (b) What are Pr(A) and Pr(B)? (c) What is Pr(An B)? (d) Use your answers to (b) and (c) to find Pr(AU B). (e) Are the events A and B independent? EEGEEEN (f) What is Pr(C | An B)? (g) Use Bayes' Theorem to find Pr(D | C). (h) Are the events D and C independent